Woman pursuing expensive cars has to move on wheels (6-5)

I believe the answer is:

roller-skate

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'to move on wheels' is the definition.
I can't tell whether this defines the answer.

'woman pursuing expensive cars' is the wordplay.
'woman' becomes 'kate' ().
'pursuing' is a charade indicator (letters next to each other).
'expensive cars' becomes 'rollers' (I've seen this before).
'kate' after 'rollers' is 'ROLLER-SKATE'.

'has' acts as a link.

Can you help me to learn more?

(Another definition for roller-skate that I've seen is " travel through revolution?".)

I've seen this clue in The Independent.

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